Adaptive synchronization control for stochastic complex networks with derivative coupling
In this paper, the problem of the adaptive synchronization control is studied for a class of stochastic complex networks with unknown nonlinear coupling strength and derivative coupling. First, in order to deal with the unknown nonlinear coupling strength, Takagi–Sugeno (T–S) fuzzy method is used to...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2022-12-01
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| Series: | Systems Science & Control Engineering |
| Subjects: | |
| Online Access: | https://www.tandfonline.com/doi/10.1080/21642583.2022.2102551 |
| _version_ | 1811312665582108672 |
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| author | Yujing Shi Lulu Yao Shanqiang Li |
| author_facet | Yujing Shi Lulu Yao Shanqiang Li |
| author_sort | Yujing Shi |
| collection | DOAJ |
| description | In this paper, the problem of the adaptive synchronization control is studied for a class of stochastic complex networks with unknown nonlinear coupling strength and derivative coupling. First, in order to deal with the unknown nonlinear coupling strength, Takagi–Sugeno (T–S) fuzzy method is used to transform the network model into a T–S fuzzy complex network model. Then,a fuzzy adaptive controller and the corresponding adaptive parameter update rate are designed. Subsequently, a new Lyapunov function is constructed, which is related to the derivative coupling. By employing the stochastic analysis technique and Lyapunov stability theory, a sufficient condition is given for exponential stabilization in mean square of the synchronization error system. Finally, the effectiveness of the obtained theoretical results is verified through a simulation. |
| first_indexed | 2024-04-13T10:40:52Z |
| format | Article |
| id | doaj.art-e20344ea354b4c7ba11c1fd580f37f12 |
| institution | Directory Open Access Journal |
| issn | 2164-2583 |
| language | English |
| last_indexed | 2024-04-13T10:40:52Z |
| publishDate | 2022-12-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Systems Science & Control Engineering |
| spelling | doaj.art-e20344ea354b4c7ba11c1fd580f37f122022-12-22T02:49:56ZengTaylor & Francis GroupSystems Science & Control Engineering2164-25832022-12-0110169870910.1080/21642583.2022.2102551Adaptive synchronization control for stochastic complex networks with derivative couplingYujing Shi0Lulu Yao1Shanqiang Li2Department of Computer Science and Mathematics, Fujian University of Technology, Fuzhou, People's Republic of ChinaDepartment of Applied Mathematics, Harbin University of Science and Technology, Harbin, People's Republic of ChinaDepartment of Computer Science and Mathematics, Fujian University of Technology, Fuzhou, People's Republic of ChinaIn this paper, the problem of the adaptive synchronization control is studied for a class of stochastic complex networks with unknown nonlinear coupling strength and derivative coupling. First, in order to deal with the unknown nonlinear coupling strength, Takagi–Sugeno (T–S) fuzzy method is used to transform the network model into a T–S fuzzy complex network model. Then,a fuzzy adaptive controller and the corresponding adaptive parameter update rate are designed. Subsequently, a new Lyapunov function is constructed, which is related to the derivative coupling. By employing the stochastic analysis technique and Lyapunov stability theory, a sufficient condition is given for exponential stabilization in mean square of the synchronization error system. Finally, the effectiveness of the obtained theoretical results is verified through a simulation.https://www.tandfonline.com/doi/10.1080/21642583.2022.2102551Complex networksexponential synchronizationadaptive controlderivative couplingstochastic disturbance |
| spellingShingle | Yujing Shi Lulu Yao Shanqiang Li Adaptive synchronization control for stochastic complex networks with derivative coupling Systems Science & Control Engineering Complex networks exponential synchronization adaptive control derivative coupling stochastic disturbance |
| title | Adaptive synchronization control for stochastic complex networks with derivative coupling |
| title_full | Adaptive synchronization control for stochastic complex networks with derivative coupling |
| title_fullStr | Adaptive synchronization control for stochastic complex networks with derivative coupling |
| title_full_unstemmed | Adaptive synchronization control for stochastic complex networks with derivative coupling |
| title_short | Adaptive synchronization control for stochastic complex networks with derivative coupling |
| title_sort | adaptive synchronization control for stochastic complex networks with derivative coupling |
| topic | Complex networks exponential synchronization adaptive control derivative coupling stochastic disturbance |
| url | https://www.tandfonline.com/doi/10.1080/21642583.2022.2102551 |
| work_keys_str_mv | AT yujingshi adaptivesynchronizationcontrolforstochasticcomplexnetworkswithderivativecoupling AT luluyao adaptivesynchronizationcontrolforstochasticcomplexnetworkswithderivativecoupling AT shanqiangli adaptivesynchronizationcontrolforstochasticcomplexnetworkswithderivativecoupling |